J-matrix method and Bargmann potentials

Details J-matrix method and Bargmann potentials J-matrix method and Bargmann potentials

2001-07-22

arxiv.org/abs/quant-ph/0107109v1

Physics

Quantum Physics

LaTex2e, 13 pages, 5 PostScript figures

Scientific paper

By applying the J-matrix method [1] to neutral particles scattering we have discovered that there is a one-to-one correspondence between the nonlocal separable potential with the Laguerre form factors and a Bargmann potential. Thus this discrete approach to direct and inverse scattering problem can be considered as a tool of the S-matrix rational parametrization. As an application, the Bargmann potentials, phase-equivalent to the np $^1S_0$ Yamaguchi potential [7] and to the np potential from inverse scattering in the J-matrix approach [6] have been obtained.

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